10131013632 has 102 divisors (see below), whose sum is σ = 27135366988. Its totient is φ = 3362127872.

The previous prime is 10131013601. The next prime is 10131013661. The reversal of 10131013632 is 23631013101.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10131013599 and 10131013608.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44629903 + ... + 44630129.

Almost surely, 2^10131013632 is an apocalyptic number.

10131013632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567683494).

10131013632 is an abundant number, since it is smaller than the sum of its proper divisors (17004353356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131013632 is an frugal number, since it uses more digits than its factorization.

10131013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10131013632 its reverse (23631013101), we get a palindrome (33762026733).

The spelling of 10131013632 in words is "ten billion, one hundred thirty-one million, thirteen thousand, six hundred thirty-two".